A1 Refereed original research article in a scientific journal
Hyperbolic Lambert Quadrilaterals and Quasiconformal Mappings
Authors: Vuorinen M, Wang G
Publisher: SUOMALAINEN TIEDEAKATEMIA
Publishing place: HELSINKI; MARIANKATU 5, 00170 HELSINKI, FINLAND
Publication year: 2013
Journal: Annales Academiae Scientiarum Fennicae. Mathematica
Journal name in source: Annales Academiae Scientiarum Fennicae-Mathematica
Journal acronym: Ann.Acad.Sci.Fenn.Ser.A1-Math.
Number in series: 2
Volume: 38
Issue: 2
First page : 433
Last page: 453
Number of pages: 21
ISSN: 1239-629X
DOI: https://doi.org/10.5186/aasfm.2013.3845
Abstract
We prove sharp bounds for the product and the sum of two hyperbolic distances between the opposite sides of hyperbolic Lambert quadrilaterals in the unit disk. Furthermore, we study the images of Lambert quadrilaterals under quasiconformal mappings from the unit disk onto itself and obtain sharp results in this case, too.
We prove sharp bounds for the product and the sum of two hyperbolic distances between the opposite sides of hyperbolic Lambert quadrilaterals in the unit disk. Furthermore, we study the images of Lambert quadrilaterals under quasiconformal mappings from the unit disk onto itself and obtain sharp results in this case, too.
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